# Geometry/Trig

posted by
**Lisa**
.

Hello, I would appreciate it if...

1. If you could give me information on finding the area of a circle inscribed in an equilateral triangle.

2. This problem: A running track is shaped like a rectangle with a semicircle on each of the shorter sides. The distance around the track is 1 mile. The straightaway is twice as long as the width of the field. What is the area of the field enclosed by the track to the nearest square foot?

Thanks!

Wouldn't the area of the track be the same as one rectangle of area lenght x width, and the area of the circle PI*(w/2)^2

The trick here is to find l, and w.

2PI(w) +2*l=1mile, and then on perimeter

PI(w) +2*2w=1mile

solve for w, then l. and you have it.

w/e